Question

Green's theorem is useful for changing a line integral around a closed curve C into - - over the region Renciosed by C​

Answer 1

Answer:

Green's theorem relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C. The theorem is useful because it allows us to translate difficult line integrals into more simple double integrals, or difficult double integrals into more simple line integrals.

Answer 2

$\huge{\boxed{\boxed{\mathfrak{AnSwEr}}}}$

Put simply, Green's theorem relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C. The theorem is useful because it allows us to translate difficult line integrals into more simple double integrals, or difficult double integrals into more simple line integrals.